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Finding the Third Proportional to 154,148,422 and 359,692,081

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Solution

The third proportional to 154,148,422 and 359,692,081 is: 839,310,525.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,148,422 : 359,692,081 = 359,692,081 : x
  2. Step 2: Convert to fraction form
    154,148,422/359,692,081 = 359,692,081/x
  3. Step 3: Cross multiply
    154,148,422x = 359,692,081 × 359,692,081
  4. Step 4: Simplify right side
    154,148,422x = 129,378,393,134,110,560
  5. Step 5: Solve for x
    x = 129,378,393,134,110,560/154,148,422
  6. Step 6: Final answer
    x = 839,310,525.89

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.